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  •  A pair of perpendicular straight lines is drawn through the origin forming with the line <img alt="\mathrm{2 x+3 y=6}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7B2%20xa

 A pair of perpendicular straight lines is drawn through the origin forming with the line \mathrm{2 x+3 y=6} an isosceles triangle right angled at the origin. The equation to the line pair is :

Option: 1

\mathrm{5 x^{2}-24 x y-5 y^{2}=0}\mathrm{5 x^{2}-26 x y-5 y^{2}=0}


Option: 2

\mathrm{5 x^{2}-26 x y-5 y^{2}=0}


Option: 3

\mathrm{5 x^{2}+24 x y-5 y^{2}=0}


Option: 4

\mathrm{5 x^{2}+26 x y-5 y^{2}=0}


Answers (1)

best_answer

\mathrm{\quad 2 x+3 y=6}
\mathrm{\tan 45^{\circ}=\left|\frac{m-\left(\frac{-2}{3}\right)}{1+m\left(\frac{-2}{3}\right)}\right|}

get two value of \mathrm{m}         

  \mathrm{\mathrm{m}_{1}=-5, \quad \mathrm{~m}_{2}=1 / 5 }


 

Posted by

Divya Prakash Singh

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